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Simplifying 9w + 3 = 5w + -13 Reorder the terms: 3 + 9w = 5w + -13 Reorder the terms: 3 + 9w = -13 + 5w Solving 3 + 9w = -13 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 3 + 9w + -5w = -13 + 5w + -5w Combine like terms: 9w + -5w = 4w 3 + 4w = -13 + 5w + -5w Combine like terms: 5w + -5w = 0 3 + 4w = -13 + 0 3 + 4w = -13 Add '-3' to each side of the equation. 3 + -3 + 4w = -13 + -3 Combine like terms: 3 + -3 = 0 0 + 4w = -13 + -3 4w = -13 + -3 Combine like terms: -13 + -3 = -16 4w = -16 Divide each side by '4'. w = -4 Simplifying w = -4
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